Base | Representation |
---|---|
bin | 10000011111110000011… |
… | …101010001010101000000 |
3 | 11000101001021100100110000 |
4 | 100133300131101111000 |
5 | 122033113303310330 |
6 | 2224435025240000 |
7 | 144620633101131 |
oct | 20376035212500 |
9 | 4011037310400 |
10 | 1133610603840 |
11 | 3a78416a6140 |
12 | 16384ba93000 |
13 | 82b8c1c3b40 |
14 | 3cc1d261c88 |
15 | 1e74b583560 |
hex | 107f0751540 |
1133610603840 has 560 divisors, whose sum is σ = 4737442026240. Its totient is φ = 253674270720.
The previous prime is 1133610603823. The next prime is 1133610603863. The reversal of 1133610603840 is 483060163311.
1133610603840 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 6 + 1 + 0 + 603 + 8 + 40 = 666.
It is a super-2 number, since 2×11336106038402 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 1133610603795 and 1133610603804.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3553641 + ... + 3859479.
It is an arithmetic number, because the mean of its divisors is an integer number (8459717904).
Almost surely, 21133610603840 is an apocalyptic number.
1133610603840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1133610603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368721013120).
1133610603840 is an abundant number, since it is smaller than the sum of its proper divisors (3603831422400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1133610603840 is a wasteful number, since it uses less digits than its factorization.
1133610603840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 305892 (or 305873 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 36.
The spelling of 1133610603840 in words is "one trillion, one hundred thirty-three billion, six hundred ten million, six hundred three thousand, eight hundred forty".
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